Jeremiah prophesied that on the new covenant the law would be written on the hearts of the believer ([Jr 31:33](https://www.biblegateway.com/passage/?search=Jeremiah+31%3A33&version=NKJV))

>   "But this is the covenant that I will make with the house of Israel
> after those days, says the Lord: I will put My law in their minds, and
> write it on their hearts; and I will be their God, and they shall
> be My people."

 and the prophet Ezequiel said that God was going to take the heart of stone and give a heart of flesh instead ([Ez 36:26](https://www.biblegateway.com/passage/?search=Ezekiel%2036%3A26&version=NKJV))

>   "I will give you a new heart and put a new spirit within you; I will
> take the heart of stone out of your flesh and give you a heart of
> flesh"

Do texts like these give enough ground for us to say that the Christian is more able to fulfill God's commands than the old testament believer was? 

What is an overview of the major protestant answers to this question?